Families of Exposing Maps in Strictly Pseudoconvex Domains

Author:

Lewandowski ArkadiuszORCID

Abstract

AbstractWe prove that given a family $$(G_t)$$ ( G t ) of strictly pseudoconvex domains varying in $$\mathcal {C}^2$$ C 2 topology on domains, there exists a continuously varying family of exposing maps $$h_{t,\zeta }$$ h t , ζ for all $$G_t$$ G t at every $$\zeta \in \partial G_t$$ ζ G t .

Funder

Narodowe Centrum Nauki

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Splitting lemma for biholomorphic mappings with parameters – weakly pseudoconvex case;Complex Variables and Elliptic Equations;2023-02-16

2. Exposing maps in strictly pseudoconvex domains with smooth dependence on parameters;Proceedings of the American Mathematical Society;2021-08-12

3. Splitting Lemma for Biholomorphic Mappings with Smooth Dependence on Parameters;The Journal of Geometric Analysis;2020-09-23

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